Generators of simple Lie superalgebras in characteristic 0
Wende Liu, Liming Tang
TL;DR
This paper proves that all finite-dimensional simple Lie superalgebras over an algebraically closed field of characteristic 0 can be generated by just two elements, simplifying their understanding.
Contribution
It establishes that every finite-dimensional simple Lie superalgebra in characteristic 0 is generated by two elements, a new and fundamental result in the theory.
Findings
All such Lie superalgebras are 2-generated.
The result simplifies the structure theory of these algebras.
Provides a basis for further algebraic and representation-theoretic studies.
Abstract
It is shown that any finite dimensional simple Lie superalgebra over an algebraically closed field of characteristic 0 is generated by 2 elements.
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Taxonomy
TopicsAdvanced Topics in Algebra · Nonlinear Waves and Solitons · Algebraic structures and combinatorial models